{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "x=2*np.random.random(size=100)\n",
    "y=x*3.+4.+np.random.normal(size=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "X=x.reshape(-1,1)#X.shape为(100, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x,y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用梯度下降训练"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "\"\"\"损失函数\"\"\"\n",
    "def J(theta,X_b,y):\n",
    "    try:\n",
    "        #X_b=[1,x1,x2...xn] theta=[θ0，θ1，θ2....θn]\n",
    "        return np.sum((y-X_b.dot(theta))**2)/len(X_b)  \n",
    "    except:\n",
    "        return float(\"inf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "\"\"\"梯度函数\"\"\"\n",
    "def dJ(theta,X_b,y):\n",
    "    res=np.empty(len(theta))#生成一个空值，内部结构和theta一样\n",
    "    res[0]=np.sum(X_b.dot(theta)-y)\n",
    "    for i in range(1,len(theta)):\n",
    "        res[i]=(X_b.dot(theta)-y).dot(X_b[:,i])\n",
    "    return res*2/len(X_b)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "\"\"\"梯度下降\"\"\"\n",
    "#θ是高维向量了\n",
    "def gradient_descent(X_b,y,initial_theta,eta,n_inter=1e4,epsilon=1e-8):#最多训练10000次\n",
    "    theta=initial_theta\n",
    "    i_iter=0\n",
    "    while i_iter<n_inter:\n",
    "        gradient=dJ(theta,X_b,y)\n",
    "        last_theta=theta\n",
    "        theta=theta-eta*gradient#优化一bu\n",
    "        if (abs(J(theta,X_b,y)-J(last_theta,X_b,y))<epsilon):#当前θ和上一个θ对应值之差小于收敛精度即可得出局部最优\n",
    "            break\n",
    "        i_iter=i_iter+1\n",
    "    return theta"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[3.80648292 3.13917386]\n"
     ]
    }
   ],
   "source": [
    "X_b=np.hstack([np.ones((len(X),1)),X])#将X扩展一列均为1\n",
    "initial_theta=np.zeros(X_b.shape[1])#X_b.shape为2 有两个theta值(θ0和θ1)需要学习\n",
    "eta=0.01\n",
    "\n",
    "theta=gradient_descent(X_b,y,initial_theta,eta)\n",
    "print(theta)#截距θ0和θ1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "封装我们写的线性回归算法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[3.1367266]\n",
      "3.8096463081386744\n"
     ]
    }
   ],
   "source": [
    "from LinearRegression_G import LinearRegression3\n",
    "lin_reg=LinearRegression3()\n",
    "lin_reg.fit_gd(X,y)\n",
    "print(lin_reg.coef_)#特征参数\n",
    "print(lin_reg.intercept_)#截距"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
